Robustness of Fractional Quantum Hall States with Dipolar Atoms in Artificial Gauge Fields

Abstract

The robustness of fractional quantum Hall states is measured as the energy gap separating the Laughlin ground-state from excitations. Using thermodynamic approximations for the correlation functions of the Laughlin state and the quasihole state, we evaluate the gap in a two-dimensional system of dipolar atoms exposed to an artificial gauge field. For Abelian fields, our results agree well with the results of exact diagonalization for small systems, but indicate that the large value of the gap predicted in [Phys. Rev. Lett. 94, 070404 (2005)] was overestimated. However, we are able to show that the small gap found in the Abelian scenario is dramatically increased if we turn to non-Abelian fields squeezing the Landau levels.

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Cited by in corpus (12)

• Light-induced gauge fields for ultracold atoms
• Condensed Matter Theory of Dipolar Quantum Gases
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Vortices and vortex lattices in quantum ferrofluids
• Fractional quantum Hall states of a Bose gas with spin-orbit coupling
• Existence of strong-pairing quantum Hall phase in bilayer cold atom systems with dipolar interactions
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
• Dynamics of Quantum Hall Interfaces
• The single-mode description of the integer quantum Hall state with dipole-dipole interaction
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Fractional quantum Hall states of dipolar fermions in a strained optical lattice